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Finding the Third Proportional to 53,372 and 116,140

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Solution

The third proportional to 53,372 and 116,140 is: 252,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,372 : 116,140 = 116,140 : x
  2. Step 2: Convert to fraction form
    53,372/116,140 = 116,140/x
  3. Step 3: Cross multiply
    53,372x = 116,140 × 116,140
  4. Step 4: Simplify right side
    53,372x = 13,488,499,600
  5. Step 5: Solve for x
    x = 13,488,499,600/53,372
  6. Step 6: Final answer
    x = 252,726.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.